| 具有平行平均曲率向量场的子流形 |
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| 引用本文： | 贾兴琴,李中林.具有平行平均曲率向量场的子流形[J].数学季刊,1992,7(1):101-106. |
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| 作者姓名： | 贾兴琴 李中林 |
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| 作者单位： | [1]河南大学数学系 [2]杭州大学数学系 |
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| 摘 要： | 本文讨论了具有平行平均曲率向量场的某一类子流形，得到了这类子流形成为全脐点子流形及其余维数减小的充分条件。
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| 关 键 词： | 平行平均曲率 向量场 子流形 Riemann流形 曲率张量 截面曲率 全脐点子流形 类形平坦 Ricci曲率 |
Submanifolds with Parallel Mean Curvacture |
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| Jia Xingqin.Submanifolds with Parallel Mean Curvacture[J].Chinese Quarterly Journal of Mathematics,1992,7(1):101-106. |
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| Authors: | Jia Xingqin |
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| Institution: | Jia Xingqin(Henan University) Li Zhonglin(Hangzhou University) |
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| Abstract: | In this paper, we consider a class of submanifolds with parallel mean curvacture vector fields. We obitain the suffitient conditions that the above submanifolds is of tatall umbilical and that its codimension is decrease. |
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| Keywords: | Riemannian manifold tatall umbilical submanffold paralled mean curravture vector fields |
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